Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Transcribed Image Text:**Question:**
The running time of Counting Sort is pseudo-polynomial in input size \( n \) for a given array \( A[1 \ldots n] \) of integers.
- \( \circ \) True
- \( \circ \) False
**Analysis:**
This question asks about the complexity of Counting Sort. Typically, Counting Sort runs in \( O(n + k) \) time, where \( n \) is the number of elements in the array, and \( k \) is the range of the input. In this context, the term "pseudo-polynomial" refers to an algorithm that runs in polynomial time with respect to the numerical value of the input, rather than the size of the input description.
Counting Sort is not pseudo-polynomial with respect to \( n \) alone because it also depends on \( k \), which is not necessarily polynomially related to \( n \).
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- Write the algorithm which finds the second maximum value of the array. Then find the complexity of the algorithm as Big O notationarrow_forwardWrite a Java program to sort an array of given integers using Selection Sort Algorithm.arrow_forwardSelect all the statements that are false, bubble sort is defined below:* Quicksort is the fastest sorting algorithm If you are lucky, you can get O(n) time complexity in Mergesort On the worst case, Bubble sort will give you O(n logn) time complexity Average time complexity of insertion sort is much better than bubble sort Selection sort has the worst space complexity among all the sorting algorithmarrow_forward
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